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3 years ago

Find the y-intercept and the slope of the line. 8x - 4y = 3

Mathematics

1 answer:

Nostrana [21]3 years ago

4 0

You can put in the formula y=mx+b to find the slope and the intercept, the slope is 2 and the y-intercept is -3/4.

Hope this helps, have a BLESSED day! :-)

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3 years ago

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2. Find the 20th term of an arithmetic sequence if its 6th term is 14 and 14th term is 6.

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Answer:

$\sf t_{20}= 0$

Step-by-step explanation:

<h3>Arithmetic sequence:</h3>

$\sf \boxed{\bf n^{th} \ term = a + (n-1)d}\\\\\text{Here, a is the first term ; d is the common difference }$

6th term is 14 ⇒ $\sf t_6 = 14$

a + (6 - 1)d = 14

a + 5d = 14 --------------(I)

14th term is 6 ⇒ $\sf t_{14} = 6$

a + (14-1)d = 6

a + 13d = 6 ----------------(II)

Subtract equation (II) from equation(I)

(I) a + 5d = 14

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-8d = 8

d = 8 ÷(-8)

$\sf \boxed{\bf d= (-1)}$

Plugin d = -1 in equation (I)

a + 5(-1) = 14

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$\sf \boxed{\bf a = 19}$

20th term:

$\sf t_{20}= 19 + 19*(-1)$

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$\sf \boxed{\bf t_{20} = 0}$

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